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**Question:-1 Solution:** Region bounded by

x = 0, x = 1 and y = x, y = 1

Now we evaluate the integral by hanging the order of integral

**Question:-2 The value of the double integral Solution: ** Region of integration is bounded y=0, y = x and x = 0, x = Ï€

changing the order of integration

= 2

**Question:-3 Evaluate Solution: **

**Question4:- Change the order of integration in the double integral Solution: ** Domain of integration is bounded by the following curves

point of intersection of the curve y =2 - x

So (-1,1 ) and (2,-2 ) are the points of intersection.

Now the given integral modify by changing the order of integration we get

Something skip follow book

**Question5:- Changing the order of integration of Solution: **

The region of integration is bounded by y = 0, y = x, x = 1, x = 2 after changing the order the integration changes to

**Question6:- Let D the trianle bounded by the y-axis the line 2y = Ï€. Then the value of the integral (a) 1/2 (b) 1 (c) 3/2 (d) 2Solution: **

**Question7:- Change the order of integration in the integral ****Solution: T**he domain of the double integration is bounded by the curves y = x - 1,

**Question8:- Let I = Then using the transformation x = rcosÎ¸, y = rsinÎ¸, integral is equal toSolution: ** Region of integration is bounded by curves

for first integral,

**Question9:- Evaluate integral (a) 0 (b) 1/2 (c) 1 (d)2Solution: ** Region of integration is bounded by curves

changing the order

**Question 10:- The value of equals(a) Ï€/4 (b) 1/2Ï€ (c) 1/4 (d) 1/2Solution:**

Solution:-

**Solution (b)**

The region of integration is bounded by x = 0, x = y, y = 1, y = âˆž and shown in figure changing the order**Question12:- Let f , be a continuous function with Solution: **Given, be a continuous function with

Now apply change of order of integration

Domain of integration is given by graph

**Question13:- By changing the order of integration, the integral can be expressed asSolution: **The domain of integration is bounded y = 1, changing the order

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